101002003002001 has 2 divisors, whose sum is σ = 101002003002002. Its totient is φ = 101002003002000.

The previous prime is 101002003001983. The next prime is 101002003002031. The reversal of 101002003002001 is 100200300200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100000000000000 + 1002003002001 = 10000000^2 + 1001001^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002003002001 - 2³⁵ = 100967643263633 is a prime.

It is a super-2 number, since 2×101002003002001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101002003002031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501001501000 + 50501001501001.

It is an arithmetic number, because the mean of its divisors is an integer number (50501001501001).

Almost surely, 2^{101002003002001} is an apocalyptic number.

It is an amenable number.

101002003002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002003002001 is an equidigital number, since it uses as much as digits as its factorization.

101002003002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101002003002001 its reverse (100200300200101), we get a palindrome (201202303202102).

The spelling of 101002003002001 in words is "one hundred one trillion, two billion, three million, two thousand, one".